Finding the Fourth Proportional to 2,553.48, 3,830.13 and 822.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,553.48 : 3,830.13 = 822.15 : x
2. Step 2: Convert to fraction form
   2,553.48/3,830.13 = 822.15/x
3. Step 3: Cross multiply
   2,553.48x = 3,830.13 × 822.15
4. Step 4: Simplify right side
   2,553.48x = 3,148,941.38
5. Step 5: Solve for x
   x = 3,148,941.38/2,553.48
6. Step 6: Final answer
   x = 1,233.20